How to Conquer Completing the Square with Non-One Coefficients

This video is a continuation of Part A, focusing on completing the square when the coefficient A is not equal to one. It introduces a new step of dividing all terms by A to make the coefficient of X^2 equal to one. The video provides multiple examples to illustrate the process, including solving quadratic equations with different values of A.

What is the first step when completing the square if the coefficient of x^2 is not 1?

• Subtract the coefficient from all terms

• Divide all terms by the coefficient

• Multiply all terms by the coefficient

• Add the coefficient to all terms

In the example where a = 2, what value is added to both sides to create a perfect square trinomial?

• 25

• 22

• 10

• 5

After creating a perfect square trinomial, what is the next step in solving the equation?

• Add the square root to both sides

• Subtract the square root from both sides

• Take the square root of both sides

• Multiply both sides by the square root

In the practice problem where a = 2, what are the roots of the equation after completing the square?

• 2.45 and 4.45

• -1.73 and 5.73

• 1.55 and 6.45

• -3.27 and -6.73

What is the value of C added to both sides in the second practice problem to form a perfect square trinomial?

• 8

• 16

• 4

• 10

What is the final step in solving the equation after forming a perfect square trinomial?

• Take the square root of both sides

• Add the constant term to both sides

• Subtract the constant term from both sides

• Multiply both sides by the constant term

In the second practice problem, what are the final roots of the equation?

• -6.92 and 4.92

• -7.92 and 2.92

• -9.92 and 1.92

• -5.92 and 3.92